An asymptotic model for a thin biphasic poroviscoelastic layer

Ivan Argatov; G. S. Mishuris

doi:10.1093/qjmam/hbv008

An asymptotic model for a thin biphasic poroviscoelastic layer

Ivan Argatov, G. S. Mishuris

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Abstract

A three-dimensional deformation problem for articular cartilage layer is considered in the framework of the linear biphasic poroviscoelastic theory. The solid matrix of biphasic layer is assumed to be transversely isotropic. A short-time leading-order asymptotic solution is obtained for a relatively thin biphasic poroviscoelastic layer bonded to a rigid impermeable substrate.

Original language	English
Pages (from-to)	289-297
Number of pages	9
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	68
Issue number	3
Early online date	22 Jun 2015
DOIs	https://doi.org/10.1093/qjmam/hbv008
Publication status	Published - Aug 2015

Keywords

ARTICULAR-CARTILAGE
COMPRESSION
CONTACT
BEHAVIOR

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An asymptotic model for a thin biophasic poroviscoelastic layerAccepted author manuscript, 270 KB

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abstract = "A three-dimensional deformation problem for articular cartilage layer is considered in the framework of the linear biphasic poroviscoelastic theory. The solid matrix of biphasic layer is assumed to be transversely isotropic. A short-time leading-order asymptotic solution is obtained for a relatively thin biphasic poroviscoelastic layer bonded to a rigid impermeable substrate.",

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AU - Mishuris, G. S.

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PY - 2015/8

Y1 - 2015/8

N2 - A three-dimensional deformation problem for articular cartilage layer is considered in the framework of the linear biphasic poroviscoelastic theory. The solid matrix of biphasic layer is assumed to be transversely isotropic. A short-time leading-order asymptotic solution is obtained for a relatively thin biphasic poroviscoelastic layer bonded to a rigid impermeable substrate.

AB - A three-dimensional deformation problem for articular cartilage layer is considered in the framework of the linear biphasic poroviscoelastic theory. The solid matrix of biphasic layer is assumed to be transversely isotropic. A short-time leading-order asymptotic solution is obtained for a relatively thin biphasic poroviscoelastic layer bonded to a rigid impermeable substrate.

KW - ARTICULAR-CARTILAGE

KW - COMPRESSION

KW - CONTACT

KW - BEHAVIOR

UR - http://hdl.handle.net/2160/43881

U2 - 10.1093/qjmam/hbv008

DO - 10.1093/qjmam/hbv008

M3 - Article

SN - 0033-5614

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SP - 289

EP - 297

JO - Quarterly Journal of Mechanics and Applied Mathematics

JF - Quarterly Journal of Mechanics and Applied Mathematics

IS - 3

ER -

An asymptotic model for a thin biphasic poroviscoelastic layer

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